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Finding the Fourth Proportional to 301,140.78, 450,922.05 and 211,911.18

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Solution

The fourth proportional to 301,140.78, 450,922.05 and 211,911.18 is: 317,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,140.78 : 450,922.05 = 211,911.18 : x
  2. Step 2: Convert to fraction form
    301,140.78/450,922.05 = 211,911.18/x
  3. Step 3: Cross multiply
    301,140.78x = 450,922.05 × 211,911.18
  4. Step 4: Simplify right side
    301,140.78x = 95,555,423,703.52
  5. Step 5: Solve for x
    x = 95,555,423,703.52/301,140.78
  6. Step 6: Final answer
    x = 317,311.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.